Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity
Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity
This paper introduces a new design method using eigenstructure assignment. The differential sensitivity of the eigenvalues of the system is minimized. The method involves minimizing the least-squared error between the achievable and the desired eigenspace to achieve mode decoupling. A global measure of eigenvalue sensitivity for all desired eigenvalues that make the closed-loop system insensitive to perturbations or parameter variations is included in the method. The technique requires the use of a gradient-based algorithm. The method is illustrated by an example, which is intended to show a more flexible approach to eigenstructure assignment.
eignstructure assignment, eigenvalues, robustness, sensitivity
127-138
Jin, H.
193ff969-2cd3-4cf6-bfc2-2bb59eac99bc
McLean, D.
6a7a72e5-16eb-4a98-8f7c-c24441466b40
2001
Jin, H.
193ff969-2cd3-4cf6-bfc2-2bb59eac99bc
McLean, D.
6a7a72e5-16eb-4a98-8f7c-c24441466b40
Jin, H. and McLean, D.
(2001)
Design of a state feedback controller to achieve minimum eigenvalue differential sensitivity.
Transactions of the Institute of Measurement and Control, 23 (2), .
Abstract
This paper introduces a new design method using eigenstructure assignment. The differential sensitivity of the eigenvalues of the system is minimized. The method involves minimizing the least-squared error between the achievable and the desired eigenspace to achieve mode decoupling. A global measure of eigenvalue sensitivity for all desired eigenvalues that make the closed-loop system insensitive to perturbations or parameter variations is included in the method. The technique requires the use of a gradient-based algorithm. The method is illustrated by an example, which is intended to show a more flexible approach to eigenstructure assignment.
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Published date: 2001
Keywords:
eignstructure assignment, eigenvalues, robustness, sensitivity
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Local EPrints ID: 21749
URI: http://eprints.soton.ac.uk/id/eprint/21749
ISSN: 0142-3312
PURE UUID: 7a666c30-b9f4-47ae-bb33-bc28388bb513
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Date deposited: 16 Mar 2006
Last modified: 08 Jan 2022 09:50
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Contributors
Author:
H. Jin
Author:
D. McLean
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